6961872826746 has 192 divisors, whose sum is σ = 16036914636288. Its totient is φ = 2178337480704.

The previous prime is 6961872826721. The next prime is 6961872826771. The reversal of 6961872826746 is 6476282781696.

It is an interprime number because it is at equal distance from previous prime (6961872826721) and next prime (6961872826771).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2164086930 + ... + 2164090146.

It is an arithmetic number, because the mean of its divisors is an integer number (83525597064).

Almost surely, 2^{6961872826746} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6961872826746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8018457318144).

6961872826746 is an abundant number, since it is smaller than the sum of its proper divisors (9075041809542).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6961872826746 is a wasteful number, since it uses less digits than its factorization.

6961872826746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3802 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 6961872826746 in words is "six trillion, nine hundred sixty-one billion, eight hundred seventy-two million, eight hundred twenty-six thousand, seven hundred forty-six".